1359134509824 has 648 divisors, whose sum is σ = 5067695348352. Its totient is φ = 346878443520.

The previous prime is 1359134509717. The next prime is 1359134509841. The reversal of 1359134509824 is 4289054319531.

1359134509824 is a `hidden beast` number, since 1 + 3 + 59 + 1 + 3 + 4 + 509 + 82 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45482152 + ... + 45512024.

Almost surely, 2^{1359134509824} is an apocalyptic number.

1359134509824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1359134509824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533847674176).

1359134509824 is an abundant number, since it is smaller than the sum of its proper divisors (3708560838528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1359134509824 is a wasteful number, since it uses less digits than its factorization.

1359134509824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29953 (or 29929 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1359134509824 in words is "one trillion, three hundred fifty-nine billion, one hundred thirty-four million, five hundred nine thousand, eight hundred twenty-four".